Question

Record your answers on the answer sheet provided by your teacher or on a sheet of paper.

The formula for the lateral area of a cylinder is $A=2\pi rh,$where $r$is the radius and $h$is the height. Solve the equation for $h$.

Short answer

The value of the h is $\frac{A}{2\pi r}$.

Step-by-step solution

Step 1. Given information.

Formula for the lateral area of a cylinder is $A=2\pi rh$.

Step 2. To find the value for h.

To solve the given equation for h, isolate h on one side by dividing both sides of equation by$2\pi r$ to get

$\begin{array}{c}\frac{A}{2\pi r}=\frac{2\pi rh}{2\pi r}\\ \frac{A}{2\pi r}=h\end{array}$

Step 3. Conclusion.

Hence, the value of the h is $\frac{A}{2\pi r}$.